Question

Which logic gate is represented by the following combination of logic gates?

• A. OR
• B. NAND
• C. AND
• D. NOR

Hint:

When multiple gates are combined, apply De Morgan’s laws and reduce the expression step-by-step to identify the equivalent gate.

Answer 1

The Correct Option is C

In the given logic gate diagram: - Two NOT gates are applied to the inputs.
- Their outputs are fed into an OR gate.
This configuration corresponds to: \[ \overline{A} + \overline{B} \] Using De Morgan’s theorem: \[ \overline{A} + \overline{B} = \overline{AB} \] Taking the complement again (which is not shown here, so this is the output itself), this is equivalent to the NAND operation inverted, hence it's: \[ \overline{\overline{A} + \overline{B}} = AB \] So, the final result is \( AB \), which is the output of an AND gate.